If Jupiter were 10 times as massive and orbited 10 times further out, it would make us a binary system, but the influence gravity wise on us would be roughly the same,
So as long as the secondary suns are far enough away it is fine.
I'm sure that's true. The problem is that a true 3 body system is still connected by some level of mutual attraction and, over time, lots of time, strange things can happen.
Take a look at THIS 3-BODY SIMULATION on YouTube.